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MCQ 1 - B8 Understand and use composite functions, inverse functions and their graphs. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

Which response best matches the A-level Maths objective on composite functions?.

  1. A.B8: choose the method that matches composite functions
  2. B.Use any familiar GCSE calculation even if it ignores composite functions
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is B8: choose the method that matches composite functions.
  • This option is best because link the algebraic feature to the corresponding graph feature, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: B8 Understand and use composite functions, inverse functions and their graphs..

Explanation

Why this works

Use the explanation to connect the worked answer back to B8 Understand and use composite functions, inverse functions and their graphs..

B8: choose the method that matches composite functions is the correct option. It directly supports composite functions by requiring the student to link the algebraic feature to the corresponding graph feature.

The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: recall.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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